Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables (1991)
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BibTeX
@MISC{Redei91bell'sinequalities,,
author = {Miklós Redei},
title = {Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables},
year = {1991}
}
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Abstract
Based partly on proving that algebraic relativistic quantum eld theory (ARQFT) is a stochastic Einstein local (SEL) theory in the sense of SEL which was introduced by Hellman (1982b) and which is adapted in this paper to ARQFT, the recently proved maximal and typical violation of Bell's inequalities in ARQFT, (Summers and Werner 1987a-c), is interpreted in this paper as showing that Bell's inequalities are, in a sense, irrelevant for the problem of Einstein local stochastic local hidden variables, especially if this problem is raised in connection with ARQFT. This leads to the question of how to formulate the problem of local hidden variables in ARQFT. By giving a precise denition of hidden-variables theory within the operator algebraic framework of quantum mechanics it will be argued that the aim of hidden-variable investigations is to determine those classes of quantum theories whose elements represent a statistical content that can not be reduced in a given way. In some particular...
